Finite Group Databasebeta

← #11708912

Subgroups — #11708912

Order 768.

6184 conjugacy classes of subgroups.

The subgroup lattice has 2136 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3515C211yesmaximal, characteristic, complemented
2#87027C212yesmaximal, complemented
3#86943C212yesmaximal, complemented
4#86927C212yesmaximal, complemented
5#86899C214yesmaximal, complemented
6#86869C212yesmaximal, complemented
7#86852C214yesmaximal, complemented
8#86852C212yesmaximal, complemented
9#86851C214yesmaximal, complemented
10#86851C214yesmaximal, complemented
11#86683C212yesmaximal, complemented
12#86682C212yesmaximal, complemented
13#86682C212yesmaximal, complemented
14#86520C212yesmaximal, complemented
15#86502C212yesmaximal, complemented
16#86445C214yesmaximal, complemented
17#86439C214yesmaximal, complemented
18#86271C211yesmaximal, characteristic, complemented
19#86270C211yesmaximal, characteristic, complemented
20#86142C212yesmaximal, complemented
21#86142C211yesmaximal, characteristic, complemented
22#86136C212yesmaximal, complemented
23#86132C211yesmaximal, characteristic, complemented
24#86089C212yesmaximal, complemented
25C2×C3⋊#564C212yesmaximal, complemented
26#85895C212yesmaximal, complemented
27#85890C212yesmaximal, complemented
28#85831C211yesmaximal, characteristic, complemented
29#85829C211yesmaximal, characteristic, complemented
30#63067—31nomaximal, Sylow
31C3×#557C2211yescharacteristic
32C3×#554C2211yescharacteristic
33C3×#554C2211yescharacteristic
34C3×#553C2212yes—
35C3×#552C2212yes—
36C3×#552C2214yes—
37C3×#552C2212yes—
38C3×#547C2211yescharacteristic
39C3×#547C2212yes—
40C3×#541C2212yes—
41C3×#539C2214yes—
42C3×#533C2211yescharacteristic
43C3×#529C2211yescharacteristic
44C3×#529C2212yes—
45C2×C3×#125C2212yes—
46C3×#520C2212yes—
47C3×C4×#41C2211yescharacteristic
48#5827C2211yescharacteristic
49#5827C2211yescharacteristic
50#5827C2212yes—
51Dic3×#41C2212yes—
52#5824C2212yes—
53#5824C2212yes—
54#5824C2212yes—
55#5731C2212yes—
56#5731C2212yes—
57#5729C2212yes—
58#5728C2212yes—
59#5721C2212yes—
60#5721C2212yes—
61#5721C2212yes—
62#5721C2212yes—
63#5712C2212yes—
64#5712C2214yes—
65#5712C2212yes—
66#5712C2214yes—
67#5708C2214yes—
68#5708C2214yes—
69#5707C2214yes—
70#5701C2214yes—
71#5701C2214yes—
72#5701C2214yes—
73#5701C2214yes—
74#5701C2214yes—
75#5701C2214yes—
76#5701C2214yes—
77#5701C2214yes—
78#5699C2211yescharacteristic
79#5699C2212yes—
80#5698C2214yes—
81#5698C2214yes—
82#5696C2214yes—
83#5696C2214yes—
84#5696C2214yes—
85#5696C2214yes—
86#5694C2214yes—
87#5689C2214yes—
88#5689C2214yes—
89#5689C2212yes—
90D3×#125C2212yes—
91C3⋊#564C2214yes—
92C3⋊#564C2214yes—
93C3⋊#564C2214yes—
94C3⋊#564C2214yes—
95C3⋊#564C2214yes—
96C3⋊#564C2211yescharacteristic
97C3⋊#564C2212yes—
98C3⋊#564C2214yes—
99C3⋊#564C2212yes—
100C3⋊#564C2212yes—
101C3⋊#564C2214yes—
102C3⋊#564C2214yes—
103C3⋊#564C2212yes—
104#5685C2214yes—
105#5685C2214yes—
106#5685C2212yes—
107#5685C2214yes—
108#5685C2212yes—
109#5684C2211yescharacteristic
110#5672C2211yescharacteristic
111#5672C2212yes—
112#5667C2212yes—
113#5665C2214yes—
114#5665C2214yes—
115#5665C2214yes—
116#5665C2214yes—
117#5665C2214yes—
118#5660C2214yes—
119#5651C2214yes—
120#5651C2212yes—
121#5650C2214yes—
122#5650C2214yes—
123#5650C2214yes—
124#5650C2214yes—
125#5650C2214yes—
126#5650C2214yes—
127#5650C2214yes—
128#5650C2214yes—
129#5649C2214yes—
130#5649C2214yes—
131#5646C2212yes—
132#5646C2214yes—
133#5645C2212yes—
134#5642C2212yes—
135#5642C2214yes—
136#5642C2212yes—
137#5639C2212yes—
138#5639C2212yes—
139#5636C2214yes—
140#5636C2214yes—
141#5635C2214yes—
142#5635C2212yes—
143#5635C2212yes—
144#5625C2212yes—
145#5625C2214yes—
146#5625C2212yes—
147#5625C2212yes—
148#5625C2212yes—
149#5625C2214yes—
150#5623C2212yes—
151#5623C2214yes—
152#5623C2214yes—
153#5623C2214yes—
154#5623C2212yes—
155#5622C2214yes—
156#5622C2212yes—
157#5622C2212yes—
158#5621C2212yes—
159#5618C2214yes—
160#5602C2212yes—
161#5602C2214yes—
162#5602C2214yes—
163#5601C2214yes—
164#5601C2214yes—
165#5600C2214yes—
166#5583C2214yes—
167#5583C2214yes—
168#5583C2212yes—
169#5583C2212yes—
170#5581C2212yes—
171#5579C2211yescharacteristic
172#5578C2212yes—
173#5578C2212yes—
174#5570C2212yes—
175#5570C2212yes—
176#5570C2212yes—
177#5569C2212yes—
178#5569C2212yes—
179#5569C2212yes—
180#5569C2212yes—
181#5567C2212yes—
182#5567C2214yes—
183#5567C2211yescharacteristic
184#5567C2212yes—
185#5567C2212yes—
186#5565C2212yes—
187#5564C2214yes—
188#5564C2214yes—
189#5564C2214yes—
190#5557C2212yes—
191#5555C2211yescharacteristic
192#5546C2212yes—
193#5546C2212yes—
194#5543C2214yes—
195#5543C2212yes—
196#5543C2211yescharacteristic
197#5543C2214yes—
198#5543C2212yes—
199#5541C2212yes—
200#5541C2212yes—
201#5541C2214yes—
202#5541C2214yes—
203#5541C2212yes—
204#5540C2214yes—
205#5539C2214yes—
206#5539C2214yes—
207#5539C2212yes—
208#5539C2212yes—
209#5539C2214yes—
210#5539C2214yes—
211#5539C2212yes—
212#5538C2214yes—
213#5538C2212yes—
214#5538C2212yes—
215C4×#237C2212yes—
216#5531C2214yes—
217#5531C2214yes—
218#5531C2214yes—
219#5531C2214yes—
220#5531C2214yes—
221#5529C2212yes—
222#5529C2214yes—
223#5528C2212yes—
224#5519C2212yes—
225#5519C2214yes—
226#5519C2211yescharacteristic
227#5519C2212yes—
228#5519C2214yes—
229#5519C2211yescharacteristic
230#5519C2212yes—
231#5518C2214yes—
232#5518C2214yes—
233#5518C2212yes—
234#5517C2214yes—
235#5517C2212yes—
236#5515C2214yes—
237#5513C2214yes—
238#5513C2214yes—
239#5513C2214yes—
240#5513C2212yes—
241#5511C2214yes—
242#5511C2212yes—
243#5500C2214yes—
244#5500C2212yes—
245C2×#890C2214yes—
246C2×#890C2212yes—
247C2×#890C2214yes—
248C2×#889C2214yes—
249C2×#889C2214yes—
250C2×#889C2214yes—
251C2×#889C2214yes—
252#5479C2212yes—
253#5479C2211yescharacteristic
254#5470C2212yes—
255#5470C2211yescharacteristic
256#5470C2211yescharacteristic
257C2×#870C2212yes—
258C2×#870C2211yescharacteristic
259C2×#870C2212yes—
260#3563—32no—
261#3563—34no—
262#3563—34no—
263#3563—32no—
264#3563—34no—
265#3563—32no—
266#3563—32no—
267#3563—34no—
268#3563—31no—
269#3563—31no—
270#3563—32no—
271#3563—32no—
272#3556—32no—
273#3556—32no—
274#3556—31no—
275#3553—34no—
276#3553—34no—
277#3553—32no—
278#3531—31no—
279C2×#564—32no—
280#3515—32no—
281#3515—32no—
282#3515—32no—
283#3515—32no—
284#3515—31no—
285#3515D311yescharacteristic, complemented
286#3504—32no—
287#3504—32no—
288#3504—31no—
289C2×C3×#41C2312yes—
290C2×C3×#41C2311yescharacteristic
291C2×#237C2312yes—
292C3×C4⋊Q8C2312yes—
293C3×C4⋊Q8C2311yescharacteristic
294C3×C4⋊Q8C2311yescharacteristic
295C3×#126C2314yes—
296C3×#126C2314yes—
297C3×#126C2314yes—
298C3×#126C2312yes—
299C3×#125C2312yes—
300C3×#125C2314yes—
301C3×#125C2314yes—
302C3×#125C2314yes—
303C3×#125C2311yescharacteristic
304C3×#125C2312yes—
305C3×#125C2314yes—
306C3×#125C2312yes—
307C3×#125C2312yes—
308C3×#124C2311yescharacteristic
309C3×#123C2314yes—
310C3×#123C2314yes—
311C3×#123C2312yes—
312C3×#123C2314yes—
313C3×#123C2314yes—
314C3×C22⋊Q8C2314yes—
315C3×C22⋊Q8C2312yes—
316C3×C22⋊Q8C2312yes—
317C3×C22⋊Q8C2312yes—
318C3×C22⋊Q8C2312yes—
319C3×C22⋊Q8C2314yes—
320C3×C22⋊Q8C2312yes—
321C3×C22⋊Q8C2311yescharacteristic
322C3×#121C2314yes—
323C3×#121C2312yes—
324C3×#121C2311yescharacteristic
325C3×C4×Q8C2311yescharacteristic
326C3×C4×Q8C2312yes—
327C3×C4×Q8C2311yescharacteristic
328C3×C4×Q8C2312yes—
329C3×C4×Q8C2312yes—
330C3×C4×Q8C2311yescharacteristic
331C3×C4×Q8C2312yes—
332C3×C4×D4C2312yes—
333C3×C4×D4C2311yescharacteristic
334C3×C4×D4C2314yes—
335C3×C4×D4C2312yes—
336C3×C4×D4C2312yes—
337C3×C4×D4C2311yescharacteristic
338C3×C4×D4C2311yescharacteristic
339C3×C4×D4C2312yes—
340C3×C4×D4C2314yes—
341C3×C4×D4C2312yes—
342C3×#117C2312yes—
343C3×#117C2314yes—
344C3×#117C2312yes—
345C3×#117C2314yes—
346C3×#117C2311yescharacteristic
347C3×#117C2312yes—
348C2×C3×C4⋊C4C2312yes—
349C2×C3×C4⋊C4C2312yes—
350C2×C3×C4⋊C4C2314yes—
351C2×C3×C4⋊C4C2314yes—
352C2×C3×C4⋊C4C2312yes—
353C2×C3×C42C2312yes—
354C2×C3×C42C2311yescharacteristic
355#946C2314yes—
356#946C2312yes—
357#946C2312yes—
358#946C2312yes—
359#946C2312yes—
360Q8×Dic3C2314yes—
361Q8×Dic3C2312yes—
362Q8×Dic3C2312yes—
363Q8×Dic3C2312yes—
364Q8×Dic3C2312yes—
365Q8×Dic3C2312yes—
366Q8×Dic3C2312yes—
367#944C2314yes—
368#944C2314yes—
369#944C2312yes—
370#944C2312yes—
371#944C2312yes—
372#944C2312yes—
373#944C2314yes—
374#939C2314yes—
375#939C2314yes—
376#939C2312yes—
377#939C2314yes—
378#939C2312yes—
379#938C2312yes—
380#936C2312yes—
381#935C2312yes—
382#935C2314yes—
383#935C2314yes—
384#935C2314yes—
385#935C2314yes—
386#935C2312yes—
387#935C2314yes—
388D4×Dic3C2314yes—
389D4×Dic3C2314yes—
390D4×Dic3C2314yes—
391D4×Dic3C2314yes—
392D4×Dic3C2314yes—
393D4×Dic3C2314yes—
394D4×Dic3C2314yes—
395D4×Dic3C2312yes—
396D4×Dic3C2312yes—
397D4×Dic3C2312yes—
398#930C2311yescharacteristic
399#930C2312yes—
400#929C2314yes—
401#929C2312yes—
402#929C2314yes—
403#929C2314yes—
404#929C2314yes—
405C4×#67C2312yes—
406C4×#67C2312yes—
407C4×#67C2314yes—
408C4×#67C2314yes—
409C4×#67C2314yes—
410C4×#67C2312yes—
411C4×#67C2314yes—
412#926C2312yes—
413#926C2312yes—
414#926C2312yes—
415#926C2312yes—
416#926C2314yes—
417#926C2314yes—
418#926C2314yes—
419#926C2311yescharacteristic
420#926C2311yescharacteristic
421#926C2312yes—
422C2×C4⋊Dic3C2311yescharacteristic
423C2×C4⋊Dic3C2312yes—
424C2×C4⋊Dic3C2314yes—
425C2×C4⋊Dic3C2311yescharacteristic
426C2×C4⋊Dic3C2314yes—
427C2×C4⋊Dic3C2312yes—
428C2×C4⋊Dic3C2312yes—
429C2×C4⋊Dic3C2314yes—
430C2×C4⋊Dic3C2312yes—
431C2×C4⋊Dic3C2312yes—
432#924C2314yes—
433#924C2312yes—
434#924C2311yescharacteristic
435#924C2312yes—
436#924C2314yes—
437#924C2314yes—
438#924C2314yes—
439#924C2314yes—
440#924C2312yes—
441#924C2312yes—
442#924C2312yes—
443#924C2314yes—
444#924C2314yes—
445#924C2312yes—
446#924C2312yes—
447C2×Dic3⋊C4C2314yes—
448C2×Dic3⋊C4C2314yes—
449C2×Dic3⋊C4C2312yes—
450C2×Dic3⋊C4C2314yes—
451C2×Dic3⋊C4C2314yes—
452C2×Dic3⋊C4C2314yes—
453C2×Dic3⋊C4C2314yes—
454C2×Dic3⋊C4C2314yes—
455C2×Dic3⋊C4C2314yes—
456C2×Dic3⋊C4C2312yes—
457C2×Dic3⋊C4C2314yes—
458C2×C4×Dic3C2314yes—
459C2×C4×Dic3C2314yes—
460C2×C4×Dic3C2312yes—
461#898C2314yes—
462#898C2314yes—
463#898C2314yes—
464#898C2314yes—
465#898C2314yes—
466#898C2312yes—
467#898C2312yes—
468#898C2314yes—
469#898C2314yes—
470#898C2314yes—
471#898C2314yes—
472#898C2312yes—
473#897C2312yes—
474#897C2314yes—
475#897C2314yes—
476#897C2314yes—
477#897C2314yes—
478#897C2312yes—
479#897C2312yes—
480#896C2312yes—
481#896C2314yes—
482#896C2314yes—
483#896C2312yes—
484#896C2314yes—
485#896C2314yes—
486#896C2314yes—
487#896C2312yes—
488#894C2314yes—
489#894C2312yes—
490#892C2314yes—
491#892C2314yes—
492#892C2312yes—
493#892C2314yes—
494D3×C4⋊C4C2314yes—
495D3×C4⋊C4C2312yes—
496D3×C4⋊C4C2312yes—
497D3×C4⋊C4C2314yes—
498#890C2312yes—
499#890C2312yes—
500#890C2314yes—
501#890C2314yes—
502#890C2314yes—
503#890C2312yes—
504#890C2314yes—
505#890C2314yes—
506#890C2312yes—
507#890C2314yes—
508#890C2314yes—
509#890C2312yes—
510#890C2314yes—
511#890C2314yes—
512#890C2314yes—
513#890C2314yes—
514#890C2314yes—
515#890C2314yes—
516#890C2314yes—
517#890C2314yes—
518#890C2314yes—
519#890C2312yes—
520#890C2314yes—
521#890C2312yes—
522#890C2314yes—
523#890C2314yes—
524#890C2314yes—
525#890C2314yes—
526#890C2314yes—
527#890C2314yes—
528#890C2312yes—
529#890C2312yes—
530#889C2314yes—
531#889C2314yes—
532#889C2314yes—
533#889C2314yes—
534#889C2314yes—
535#889C2314yes—
536#889C2314yes—
537#889C2314yes—
538#889C2314yes—
539#889C2314yes—
540#889C2314yes—
541#889C2312yes—
542#889C2314yes—
543#889C2314yes—
544#889C2314yes—
545#889C2314yes—
546#889C2314yes—
547#889C2314yes—
548#889C2314yes—
549#889C2314yes—
550#889C2314yes—
551#889C2314yes—
552#889C2312yes—
553#889C2314yes—
554#889C2314yes—
555#889C2312yes—
556#889C2314yes—
557#889C2314yes—
558#889C2314yes—
559#889C2314yes—
560#889C2314yes—
561#889C2314yes—
562#889C2314yes—
563#889C2314yes—
564#889C2312yes—
565#889C2312yes—
566#889C2314yes—
567#889C2314yes—
568#889C2314yes—
569#889C2314yes—
570#889C2314yes—
571#889C2314yes—
572#889C2314yes—
573#889C2314yes—
574#889C2314yes—
575#889C2314yes—
576#889C2314yes—
577#889C2314yes—
578#889C2314yes—
579#889C2314yes—
580#888C2314yes—
581#888C2312yes—
582#888C2312yes—
583#888C2312yes—
584#888C2314yes—
585#888C2314yes—
586#888C2312yes—
587#888C2312yes—
588#888C2314yes—
589#888C2314yes—
590#888C2314yes—
591#888C2314yes—
592#888C2314yes—
593#888C2314yes—
594#888C2312yes—
595#887C2314yes—
596#887C2314yes—
597#887C2314yes—
598#887C2314yes—
599#887C2314yes—
600#887C2314yes—
601#887C2314yes—
602#887C2314yes—
603#887C2314yes—
604#887C2312yes—
605#887C2312yes—
606#887C2312yes—
607#886C2312yes—
608#886C2314yes—
609#886C2314yes—
610#886C2312yes—
611#886C2314yes—
612#885C2312yes—
613#885C2312yes—
614#885C2312yes—
615#884C2312yes—
616#883C2314yes—
617#883C2314yes—
618#883C2312yes—
619#883C2314yes—
620#883C2312yes—
621#883C2312yes—
622#67⋊C4C2314yes—
623#67⋊C4C2314yes—
624#67⋊C4C2314yes—
625#67⋊C4C2314yes—
626#67⋊C4C2314yes—
627#879C2314yes—
628#879C2314yes—
629#879C2312yes—
630#879C2312yes—
631#879C2314yes—
632#879C2314yes—
633#879C2314yes—
634#879C2314yes—
635#879C2312yes—
636#879C2312yes—
637#879C2314yes—
638#879C2314yes—
639#879C2314yes—
640#879C2314yes—
641#879C2314yes—
642#879C2314yes—
643#879C2312yes—
644#879C2314yes—
645#879C2314yes—
646#879C2314yes—
647#878C2314yes—
648#878C2314yes—
649#878C2314yes—
650#878C2314yes—
651#878C2314yes—
652#878C2314yes—
653#878C2314yes—
654#878C2314yes—
655#878C2312yes—
656#878C2314yes—
657#878C2312yes—
658#878C2314yes—
659#878C2314yes—
660#878C2314yes—
661#878C2314yes—
662#878C2312yes—
663#878C2314yes—
664#878C2314yes—
665#878C2312yes—
666#878C2312yes—
667#878C2312yes—
668#878C2314yes—
669#878C2314yes—
670#878C2314yes—
671#878C2314yes—
672#877C2314yes—
673#877C2314yes—
674#877C2314yes—
675#877C2314yes—
676#877C2314yes—
677#877C2314yes—
678#877C2314yes—
679#877C2314yes—
680#877C2314yes—
681#876C2314yes—
682#876C2314yes—
683#876C2314yes—
684#876C2312yes—
685#875C2311yescharacteristic
686C4×D12C2312yes—
687C4×D12C2311yescharacteristic
688#872C2314yes—
689#872C2314yes—
690#872C2312yes—
691#872C2314yes—
692#872C2312yes—
693C42×D3C2312yes—
694#870C2311yescharacteristic
695#870C2312yes—
696#870C2312yes—
697#870C2311yescharacteristic
698#870C2311yescharacteristic
699#870C2312yes—
700#870C2312yes—
701#870C2314yes—
702#870C2314yes—
703#870C2312yes—
704#870C2312yes—
705#870C2314yes—
706#870C2314yes—
707#870C2314yes—
708#870C2314yes—
709#870C2314yes—
710#870C2314yes—
711#870C2312yes—
712#870C2312yes—
713#870C2312yes—
714#870C2312yes—
715#869C2312yes—
716#869C2314yes—
717#869C2312yes—
718#869C2312yes—
719#869C2314yes—
720#869C2311yescharacteristic
721#869C2311yescharacteristic
722#869C2311yescharacteristic
723#869C2311yescharacteristic
724C4×Dic6C2312yes—
725C4×Dic6C2314yes—
726C4×Dic6C2314yes—
727C4×Dic6C2314yes—
728C4×Dic6C2314yes—
729C4×Dic6C2314yes—
730C4×Dic6C2312yes—
731C4×Dic6C2312yes—
732C4×Dic6C2312yes—
733C4×Dic6C2312yes—
734C4×Dic6C2314yes—
735C4×Dic6C2314yes—
736C4×Dic6C2314yes—
737C4×Dic6C2312yes—
738C4×Dic6C2312yes—
739C4×Dic6C2312yes—
740C4×Dic6C2312yes—
741C4×Dic6C2311yescharacteristic
742#564—31no—
743#564—34no—
744#564—34no—
745#564—32no—
746#564—34no—
747#564—34no—
748#564—34no—
749#564—34no—
750#564—32no—
751#564—32no—
752#564—34no—
753#564—34no—
754#564—32no—
755#563—32no—
756#563—32no—
757#563—34no—
758#563—34no—
759#563—31no—
760#563—32no—
761#563—31no—
762#563—32no—
763#563—32no—
764#563—34no—
765#563—32no—
766#563—34no—
767#562—31no—
768#562—32no—
769#562—32no—
770#557—32no—
771#557—32no—
772#557—32no—
773#557—32no—
774#557—32no—
775#557—32no—
776#557—34no—
777#557—34no—
778#557—34no—
779#557—32no—
780#557—32no—
781#557—32no—
782#557—32no—
783#557—32no—
784#557—32no—
785#557—32no—
786#557—32no—
787#557—31no—
788#557—32no—
789#557—34no—
790#557—32no—
791#557C2×D311yescharacteristic
792#554—34no—
793#554—32no—
794#554—32no—
795#554—34no—
796#554—34no—
797#554—31no—
798#554—32no—
799#554—32no—
800#554—32no—
801#554—34no—
802#554—34no—
803#554—34no—
804#554—34no—
805#554—32no—
806#554—31no—
807#554—34no—
808#554—34no—
809#554—32no—
810#554—34no—
811#554—32no—
812#554C2×D311yescharacteristic
813#554C2×D311yescharacteristic
814#553—34no—
815#553—34no—
816#553—34no—
817#553—34no—
818#553—32no—
819#553C2×D312yes—
820#552—34no—
821#552—34no—
822#552—34no—
823#552—34no—
824#552—34no—
825#552—34no—
826#552—34no—
827#552—34no—
828#552—34no—
829#552—34no—
830#552—34no—
831#552—32no—
832#552—32no—
833#552—32no—
834#552—32no—
835#552—34no—
836#552—32no—
837#552—32no—
838#552—32no—
839#552—34no—
840#552—32no—
841#552—34no—
842#552—32no—
843#552—34no—
844#552—34no—
845#552—34no—
846#552—34no—
847#552—34no—
848#552—34no—
849#552—32no—
850#552—34no—
851#552—34no—
852#552—34no—
853#552C2×D312yes—
854#552C2×D314yes—
855#552C2×D312yes—
856#547—32no—
857#547—32no—
858#547—32no—
859#547—31no—
860#547C2×D312yes—
861#547C2×D311yescharacteristic
862#544—32no—
863#544—32no—
864#544—34no—
865#544—34no—
866#544—34no—
867#544—34no—
868#544—32no—
869#544—32no—
870#544—34no—
871#544—34no—
872#544—32no—
873#544—32no—
874#544—32no—
875#544—31no—
876#544—31no—
877#544—34no—
878#544—34no—
879#544—32no—
880#541—32no—
881#541—32no—
882#541—34no—
883#541—34no—
884#541—34no—
885#541—34no—
886#541—34no—
887#541—34no—
888#541—34no—
889#541—34no—
890#541—34no—
891#541—34no—
892#541—34no—
893#541—34no—
894#541—34no—
895#541—34no—
896#541—32no—
897#541—32no—
898#541—32no—
899#541—32no—
900#541—34no—
901#541—34no—
902#541—32no—
903#541—32no—
904#541—34no—
905#541—34no—
906#541—32no—
907#541—34no—
908#541—34no—
909#541C2×D312yes—
910#539—34no—
911#539—34no—
912#539—34no—
913#539—34no—
914#539—34no—
915#539—34no—
916#539—34no—
917#539—32no—
918#539—34no—
919#539—34no—
920#539—32no—
921#539—34no—
922#539—34no—
923#539—34no—
924#539—34no—
925#539C2×D314yes—
926#533—32no—
927#533—34no—
928#533—32no—
929#533—32no—
930#533—32no—
931#533—32no—
932#533—32no—
933#533—34no—
934#533—31no—
935#533—32no—
936#533—31no—
937#533C2×D311yescharacteristic
938#529—34no—
939#529—34no—
940#529—34no—
941#529—32no—
942#529—32no—
943#529—34no—
944#529—32no—
945#529—32no—
946#529—31no—
947#529—32no—
948#529C2×D311yescharacteristic
949#529C2×D312yes—
950C2×#125—32no—
951C2×#125—34no—
952C2×#125—34no—
953C2×#125—34no—
954C2×#125—34no—
955C2×#125—34no—
956C2×#125—32no—
957C2×#125—34no—
958C2×#125—32no—
959C2×#125—31no—
960C2×#125—32no—
961C2×#125C2×D312yes—
962#520—32no—
963#520—31no—
964#520—31no—
965#520—32no—
966#520—32no—
967#520C2×D312yes—
968C4×#41—32no—
969C4×#41—32no—
970C4×#41C2×D311yescharacteristic
971C3×#41—28no—
972C3×#41—24no—
973C2×C3×Q8C2412yes—
974C2×C3×Q8C2411yescharacteristic
975C2×C3×Q8C2411yescharacteristic
976C2×C3×Q8C2412yes—
977C2×C3×D4C2412yes—
978C2×C3×D4C2414yes—
979C2×C3×D4C2412yes—
980C2×C3×D4C2411yescharacteristic
981C2×C3×D4C2411yescharacteristic
982C22×C3×C4C2414yes—
983C22×C3×C4C2412yes—
984C22×C3×C4C2412yes—
985C22×C3×C4C2411yescharacteristic
986C22×C3×C4C2414yes—
987C22×C3×C4C2412yes—
988C22×C3×C4C2411yescharacteristic
989C22×C3×C4C2412yes—
990C22×C3×C4C2411yescharacteristic
991C22×C3×C4C2414yes—
992C2×#67C2414yes—
993C2×#67C2412yes—
994C2×#67C2412yes—
995C2×#67C2412yes—
996C22×Dic3C2414yes—
997C22×Dic3C2412yes—
998C22×Dic3C2412yes—
999C22×Dic3C2412yes—
1000C22×Dic3C2414yes—
1001C22×Dic3C2412yes—
1002C22×Dic3C2414yes—
1003C22×Dic3C2414yes—
1004C22×Dic3C2414yes—
1005#237—28no—
1006C2×D12C2411yescharacteristic
1007C2×C4×D3C2412yes—
1008C2×C4×D3C2412yes—
1009C2×C4×D3C2412yes—
1010C2×C4×D3C2414yes—
1011C2×C4×D3C2414yes—
1012C2×Dic6C2412yes—
1013C2×Dic6C2412yes—
1014C2×Dic6C2412yes—
1015C2×Dic6C2414yes—
1016C2×Dic6C2411yescharacteristic
1017C2×Dic6C2414yes—
1018C2×Dic6C2412yes—
1019C2×Dic6C2414yes—
1020C2×Dic6C2412yes—
1021C2×Dic6C2414yes—
1022C2×Dic6C2412yes—
1023C3×C4⋊C4C2411yescharacteristic
1024C3×C4⋊C4C2412yes—
1025C3×C4⋊C4C2412yes—
1026C3×C4⋊C4C2414yes—
1027C3×C4⋊C4C2412yes—
1028C3×C4⋊C4C2414yes—
1029C3×C4⋊C4C2414yes—
1030C3×C4⋊C4C2414yes—
1031C3×C4⋊C4C2414yes—
1032C3×C4⋊C4C2414yes—
1033C3×C4⋊C4C2412yes—
1034C3×C4⋊C4C2412yes—
1035C3×C4⋊C4C2412yes—
1036C3×C4⋊C4C2411yescharacteristic
1037C3×C4⋊C4C2412yes—
1038C3×C4⋊C4C2414yes—
1039C3×C4⋊C4C2414yes—
1040C3×C4⋊C4C2414yes—
1041C3×C4⋊C4C2411yescharacteristic
1042C3×C4⋊C4C2412yes—
1043C3×C4⋊C4C2411yescharacteristic
1044C3×C4⋊C4C2412yes—
1045C3×C4⋊C4C2412yes—
1046C3×C4⋊C4C2414yes—
1047C3×C22⋊C4C2412yes—
1048C3×C22⋊C4C2414yes—
1049C3×C22⋊C4C2412yes—
1050C3×C22⋊C4C2414yes—
1051C3×C22⋊C4C2412yes—
1052C3×C22⋊C4C2414yes—
1053C3×C22⋊C4C2414yes—
1054C3×C22⋊C4C2412yes—
1055C3×C22⋊C4C2412yes—
1056C3×C22⋊C4C2412yes—
1057C3×C22⋊C4C2412yes—
1058C3×C22⋊C4C2412yes—
1059C3×C42C2412yes—
1060C3×C42C2411yescharacteristic
1061C3×C42C2411yescharacteristic
1062C3×C42C2414yes—
1063C3×C42C2414yes—
1064C3×C42C2412yes—
1065C3×C42C2411yescharacteristic
1066C3×C42C2412yes—
1067C3×C42C2412yes—
1068C3×C42C2411yescharacteristic
1069#217C2412yes—
1070#217C2414yes—
1071#217C2412yes—
1072#217C2414yes—
1073#217C2414yes—
1074#217C2414yes—
1075#217C2414yes—
1076#217C2414yes—
1077#217C2412yes—
1078#217C2412yes—
1079#217C2412yes—
1080#217C2412yes—
1081#217C2412yes—
1082#217C2414yes—
1083(C2×D3)⋊C4C2412yes—
1084(C2×D3)⋊C4C2412yes—
1085(C2×D3)⋊C4C2414yes—
1086(C2×D3)⋊C4C2412yes—
1087(C2×D3)⋊C4C2412yes—
1088(C2×D3)⋊C4C2412yes—
1089(C2×D3)⋊C4C2414yes—
1090(C2×D3)⋊C4C2414yes—
1091(C2×D3)⋊C4C2412yes—
1092(C2×D3)⋊C4C2414yes—
1093(C2×D3)⋊C4C2414yes—
1094(C2×D3)⋊C4C2412yes—
1095(C2×D3)⋊C4C2412yes—
1096C4⋊Dic3C2412yes—
1097C4⋊Dic3C2412yes—
1098C4⋊Dic3C2412yes—
1099C4⋊Dic3C2414yes—
1100C4⋊Dic3C2412yes—
1101C4⋊Dic3C2414yes—
1102C4⋊Dic3C2412yes—
1103C4⋊Dic3C2412yes—
1104C4⋊Dic3C2414yes—
1105C4⋊Dic3C2412yes—
1106C4⋊Dic3C2411yescharacteristic
1107C4⋊Dic3C2414yes—
1108C4⋊Dic3C2412yes—
1109C4⋊Dic3C2414yes—
1110C4⋊Dic3C2412yes—
1111C4⋊Dic3C2411yescharacteristic
1112C4⋊Dic3C2411yescharacteristic
1113C4⋊Dic3C2414yes—
1114C4⋊Dic3C2412yes—
1115C4⋊Dic3C2412yes—
1116C4⋊Dic3C2411yescharacteristic
1117C4⋊Dic3C2411yescharacteristic
1118C4⋊Dic3C2412yes—
1119C4⋊Dic3C2414yes—
1120C4⋊Dic3C2414yes—
1121C4⋊Dic3C2414yes—
1122C4⋊Dic3C2414yes—
1123C4⋊Dic3C2414yes—
1124C4⋊Dic3C2411yescharacteristic
1125C4⋊Dic3C2414yes—
1126C4⋊Dic3C2414yes—
1127C4⋊Dic3C2414yes—
1128C4⋊Dic3C2412yes—
1129C4⋊Dic3C2414yes—
1130C4⋊Dic3C2412yes—
1131Dic3⋊C4C2412yes—
1132Dic3⋊C4C2412yes—
1133Dic3⋊C4C2412yes—
1134Dic3⋊C4C2412yes—
1135Dic3⋊C4C2414yes—
1136Dic3⋊C4C2414yes—
1137Dic3⋊C4C2412yes—
1138Dic3⋊C4C2412yes—
1139Dic3⋊C4C2414yes—
1140Dic3⋊C4C2414yes—
1141Dic3⋊C4C2414yes—
1142Dic3⋊C4C2414yes—
1143Dic3⋊C4C2414yes—
1144Dic3⋊C4C2412yes—
1145Dic3⋊C4C2414yes—
1146Dic3⋊C4C2414yes—
1147Dic3⋊C4C2414yes—
1148Dic3⋊C4C2414yes—
1149Dic3⋊C4C2414yes—
1150Dic3⋊C4C2414yes—
1151Dic3⋊C4C2414yes—
1152Dic3⋊C4C2414yes—
1153Dic3⋊C4C2414yes—
1154Dic3⋊C4C2412yes—
1155Dic3⋊C4C2412yes—
1156Dic3⋊C4C2414yes—
1157Dic3⋊C4C2414yes—
1158Dic3⋊C4C2412yes—
1159Dic3⋊C4C2412yes—
1160Dic3⋊C4C2412yes—
1161Dic3⋊C4C2414yes—
1162Dic3⋊C4C2414yes—
1163Dic3⋊C4C2414yes—
1164Dic3⋊C4C2414yes—
1165Dic3⋊C4C2414yes—
1166Dic3⋊C4C2414yes—
1167Dic3⋊C4C2414yes—
1168Dic3⋊C4C2414yes—
1169Dic3⋊C4C2414yes—
1170Dic3⋊C4C2414yes—
1171Dic3⋊C4C2414yes—
1172Dic3⋊C4C2414yes—
1173Dic3⋊C4C2414yes—
1174Dic3⋊C4C2414yes—
1175Dic3⋊C4C2412yes—
1176Dic3⋊C4C2412yes—
1177Dic3⋊C4C2414yes—
1178Dic3⋊C4C2414yes—
1179Dic3⋊C4C2414yes—
1180Dic3⋊C4C2412yes—
1181Dic3⋊C4C2412yes—
1182C4×Dic3C2412yes—
1183C4×Dic3C2412yes—
1184C4×Dic3C2412yes—
1185C4×Dic3C2412yes—
1186C4×Dic3C2414yes—
1187C4×Dic3C2414yes—
1188C4×Dic3C2414yes—
1189C4×Dic3C2414yes—
1190C4×Dic3C2414yes—
1191C4×Dic3C2414yes—
1192C4×Dic3C2414yes—
1193C4×Dic3C2414yes—
1194C4×Dic3C2414yes—
1195C4×Dic3C2414yes—
1196C4×Dic3C2414yes—
1197C4×Dic3C2414yes—
1198C4×Dic3C2412yes—
1199C4×Dic3C2414yes—
1200C4×Dic3C2414yes—
1201C4×Dic3C2412yes—
1202C4×Dic3C2412yes—
1203C2×#41—32no—
1204C2×#41C22×D312yes—
1205C2×#41C22×D311yescharacteristic
1206C4⋊Q8—34no—
1207C4⋊Q8—32no—
1208C4⋊Q8—32no—
1209C4⋊Q8—32no—
1210C4⋊Q8—32no—
1211C4⋊Q8—34no—
1212C4⋊Q8—34no—
1213C4⋊Q8—34no—
1214C4⋊Q8—34no—
1215C4⋊Q8—34no—
1216C4⋊Q8—32no—
1217C4⋊Q8—32no—
1218C4⋊Q8—32no—
1219C4⋊Q8—32no—
1220C4⋊Q8—32no—
1221C4⋊Q8—32no—
1222C4⋊Q8—34no—
1223C4⋊Q8—34no—
1224C4⋊Q8—34no—
1225C4⋊Q8—34no—
1226C4⋊Q8—34no—
1227C4⋊Q8—34no—
1228C4⋊Q8—32no—
1229C4⋊Q8—32no—
1230C4⋊Q8—31no—
1231C4⋊Q8—32no—
1232C4⋊Q8—31no—
1233C4⋊Q8—31no—
1234C4⋊Q8—31no—
1235C4⋊Q8—34no—
1236C4⋊Q8—34no—
1237C4⋊Q8C22×D312yes—
1238C4⋊Q8C22×D311yescharacteristic
1239C4⋊Q8C22×D311yescharacteristic
1240#126—34no—
1241#126—34no—
1242#126—34no—
1243#126—32no—
1244#126—32no—
1245#126—32no—
1246#126—34no—
1247#126—34no—
1248#126—34no—
1249#126—34no—
1250#126—34no—
1251#126—34no—
1252#126—34no—
1253#126—34no—
1254#126—34no—
1255#126—34no—
1256#126—34no—
1257#126—32no—
1258#126—32no—
1259#126—32no—
1260#126—32no—
1261#126—32no—
1262#126—34no—
1263#126—34no—
1264#126—34no—
1265#126—34no—
1266#126—34no—
1267#126—34no—
1268#126—34no—
1269#126—34no—
1270#126—34no—
1271#126—34no—
1272#126—34no—
1273#126—32no—
1274#126—34no—
1275#126—34no—
1276#126C22×D314yes—
1277#126C22×D312yes—
1278#126C22×D314yes—
1279#126C22×D314yes—
1280#125—32no—
1281#125—32no—
1282#125—32no—
1283#125—32no—
1284#125—32no—
1285#125—32no—
1286#125—34no—
1287#125—34no—
1288#125—34no—
1289#125—34no—
1290#125—34no—
1291#125—34no—
1292#125—34no—
1293#125—34no—
1294#125—34no—
1295#125—34no—
1296#125—34no—
1297#125—34no—
1298#125—34no—
1299#125—34no—
1300#125—34no—
1301#125—34no—
1302#125—34no—
1303#125—34no—
1304#125—34no—
1305#125—34no—
1306#125—34no—
1307#125—34no—
1308#125—34no—
1309#125—34no—
1310#125—34no—
1311#125—34no—
1312#125—34no—
1313#125—34no—
1314#125—34no—
1315#125—34no—
1316#125—34no—
1317#125—34no—
1318#125—34no—
1319#125—34no—
1320#125—34no—
1321#125—34no—
1322#125—34no—
1323#125—34no—
1324#125—34no—
1325#125—34no—
1326#125—32no—
1327#125—32no—
1328#125—32no—
1329#125—32no—
1330#125—32no—
1331#125—32no—
1332#125—34no—
1333#125—34no—
1334#125—34no—
1335#125—34no—
1336#125—32no—
1337#125—32no—
1338#125—34no—
1339#125—34no—
1340#125—34no—
1341#125—34no—
1342#125—34no—
1343#125—34no—
1344#125—34no—
1345#125—34no—
1346#125—34no—
1347#125—34no—
1348#125—34no—
1349#125—34no—
1350#125—34no—
1351#125—34no—
1352#125—34no—
1353#125—34no—
1354#125—34no—
1355#125—34no—
1356#125—34no—
1357#125—34no—
1358#125—34no—
1359#125—34no—
1360#125—34no—
1361#125—34no—
1362#125—31no—
1363#125—31no—
1364#125—32no—
1365#125—32no—
1366#125—34no—
1367#125—34no—
1368#125—34no—
1369#125—32no—
1370#125—32no—
1371#125—32no—
1372#125—34no—
1373#125—32no—
1374#125—32no—
1375#125—32no—
1376#125—32no—
1377#125—32no—
1378#125—31no—
1379#125—34no—
1380#125—34no—
1381#125—34no—
1382#125—34no—
1383#125C22×D312yes—
1384#125C22×D311yescharacteristic
1385#125C22×D312yes—
1386#125C22×D314yes—
1387#125C22×D312yes—
1388#125C22×D312yes—
1389#125C22×D314yes—
1390#125C22×D314yes—
1391#125C22×D314yes—
1392#124—32no—
1393#124—32no—
1394#124—32no—
1395#124—32no—
1396#124—31no—
1397#124C22×D311yescharacteristic
1398#123—34no—
1399#123—34no—
1400#123—34no—
1401#123—32no—
1402#123—32no—
1403#123—34no—
1404#123—34no—
1405#123—34no—
1406#123—34no—
1407#123—34no—
1408#123—32no—
1409#123—34no—
1410#123—32no—
1411#123—34no—
1412#123—34no—
1413#123—32no—
1414#123—32no—
1415#123—32no—
1416#123—32no—
1417#123—32no—
1418#123—34no—
1419#123—34no—
1420#123—34no—
1421#123—34no—
1422#123—34no—
1423#123C22×D314yes—
1424#123C22×D314yes—
1425#123C22×D314yes—
1426#123C22×D312yes—
1427#123C22×D314yes—
1428C22⋊Q8—32no—
1429C22⋊Q8—32no—
1430C22⋊Q8—32no—
1431C22⋊Q8—32no—
1432C22⋊Q8—34no—
1433C22⋊Q8—31no—
1434C22⋊Q8—34no—
1435C22⋊Q8—32no—
1436C22⋊Q8—32no—
1437C22⋊Q8—34no—
1438C22⋊Q8—34no—
1439C22⋊Q8—34no—
1440C22⋊Q8—32no—
1441C22⋊Q8—32no—
1442C22⋊Q8—32no—
1443C22⋊Q8—32no—
1444C22⋊Q8—32no—
1445C22⋊Q8—34no—
1446C22⋊Q8—34no—
1447C22⋊Q8—34no—
1448C22⋊Q8—32no—
1449C22⋊Q8—32no—
1450C22⋊Q8—34no—
1451C22⋊Q8—34no—
1452C22⋊Q8—32no—
1453C22⋊Q8—32no—
1454C22⋊Q8—32no—
1455C22⋊Q8—32no—
1456C22⋊Q8—34no—
1457C22⋊Q8—34no—
1458C22⋊Q8—34no—
1459C22⋊Q8—34no—
1460C22⋊Q8—34no—
1461C22⋊Q8—34no—
1462C22⋊Q8—34no—
1463C22⋊Q8—32no—
1464C22⋊Q8—32no—
1465C22⋊Q8—34no—
1466C22⋊Q8—34no—
1467C22⋊Q8—34no—
1468C22⋊Q8—34no—
1469C22⋊Q8—34no—
1470C22⋊Q8—34no—
1471C22⋊Q8—34no—
1472C22⋊Q8—34no—
1473C22⋊Q8—34no—
1474C22⋊Q8—34no—
1475C22⋊Q8—34no—
1476C22⋊Q8—32no—
1477C22⋊Q8—32no—
1478C22⋊Q8—32no—
1479C22⋊Q8—32no—
1480C22⋊Q8—34no—
1481C22⋊Q8—34no—
1482C22⋊Q8—34no—
1483C22⋊Q8—34no—
1484C22⋊Q8—34no—
1485C22⋊Q8—34no—
1486C22⋊Q8—34no—
1487C22⋊Q8—34no—
1488C22⋊Q8C22×D311yescharacteristic
1489C22⋊Q8C22×D312yes—
1490C22⋊Q8C22×D314yes—
1491C22⋊Q8C22×D312yes—
1492C22⋊Q8C22×D312yes—
1493C22⋊Q8C22×D312yes—
1494C22⋊Q8C22×D312yes—
1495C22⋊Q8C22×D314yes—
1496#121—34no—
1497#121—34no—
1498#121—34no—
1499#121—32no—
1500#121—32no—
1501#121—32no—
1502#121—32no—
1503#121—31no—
1504#121—32no—
1505#121C22×D314yes—
1506#121C22×D312yes—
1507#121C22×D311yescharacteristic
1508C4×Q8—32no—
1509C4×Q8—32no—
1510C4×Q8—32no—
1511C4×Q8—32no—
1512C4×Q8—32no—
1513C4×Q8—32no—
1514C4×Q8—34no—
1515C4×Q8—32no—
1516C4×Q8—32no—
1517C4×Q8—32no—
1518C4×Q8—34no—
1519C4×Q8—34no—
1520C4×Q8—34no—
1521C4×Q8—34no—
1522C4×Q8—34no—
1523C4×Q8—34no—
1524C4×Q8—34no—
1525C4×Q8—34no—
1526C4×Q8—34no—
1527C4×Q8—32no—
1528C4×Q8—32no—
1529C4×Q8—32no—
1530C4×Q8—32no—
1531C4×Q8—32no—
1532C4×Q8—32no—
1533C4×Q8—32no—
1534C4×Q8—31no—
1535C4×Q8—34no—
1536C4×Q8—32no—
1537C4×Q8—34no—
1538C4×Q8—32no—
1539C4×Q8—34no—
1540C4×Q8—34no—
1541C4×Q8—34no—
1542C4×Q8—34no—
1543C4×Q8—34no—
1544C4×Q8—34no—
1545C4×Q8C22×D311yescharacteristic
1546C4×Q8C22×D311yescharacteristic
1547C4×Q8C22×D312yes—
1548C4×Q8C22×D312yes—
1549C4×Q8C22×D311yescharacteristic
1550C4×Q8C22×D312yes—
1551C4×Q8C22×D312yes—
1552C4×D4—32no—
1553C4×D4—32no—
1554C4×D4—32no—
1555C4×D4—34no—
1556C4×D4—34no—
1557C4×D4—34no—
1558C4×D4—34no—
1559C4×D4—34no—
1560C4×D4—34no—
1561C4×D4—34no—
1562C4×D4—34no—
1563C4×D4—34no—
1564C4×D4—34no—
1565C4×D4—32no—
1566C4×D4—32no—
1567C4×D4—32no—
1568C4×D4—34no—
1569C4×D4—34no—
1570C4×D4—34no—
1571C4×D4—34no—
1572C4×D4—34no—
1573C4×D4—34no—
1574C4×D4—31no—
1575C4×D4—32no—
1576C4×D4C22×D312yes—
1577C4×D4C22×D311yescharacteristic
1578C4×D4C22×D311yescharacteristic
1579C4×D4C22×D312yes—
1580C4×D4C22×D312yes—
1581C4×D4C22×D314yes—
1582C4×D4C22×D314yes—
1583C4×D4C22×D311yescharacteristic
1584C4×D4C22×D312yes—
1585C4×D4C22×D312yes—
1586#117—32no—
1587#117—34no—
1588#117—32no—
1589#117—31no—
1590#117—31no—
1591#117—34no—
1592#117—32no—
1593#117—32no—
1594#117—34no—
1595#117—32no—
1596#117—32no—
1597#117—34no—
1598#117—34no—
1599#117—34no—
1600#117—34no—
1601#117—34no—
1602#117—34no—
1603#117—34no—
1604#117—34no—
1605#117—34no—
1606#117—34no—
1607#117—34no—
1608#117—34no—
1609#117—32no—
1610#117—32no—
1611#117—34no—
1612#117—34no—
1613#117—34no—
1614#117C22×D311yescharacteristic
1615#117C22×D312yes—
1616#117C22×D312yes—
1617#117C22×D314yes—
1618#117C22×D314yes—
1619#117C22×D312yes—
1620C2×C4⋊C4—34no—
1621C2×C4⋊C4—34no—
1622C2×C4⋊C4—34no—
1623C2×C4⋊C4—32no—
1624C2×C4⋊C4—32no—
1625C2×C4⋊C4—32no—
1626C2×C4⋊C4—31no—
1627C2×C4⋊C4—31no—
1628C2×C4⋊C4—34no—
1629C2×C4⋊C4—34no—
1630C2×C4⋊C4—34no—
1631C2×C4⋊C4—32no—
1632C2×C4⋊C4—34no—
1633C2×C4⋊C4—34no—
1634C2×C4⋊C4—34no—
1635C2×C4⋊C4—34no—
1636C2×C4⋊C4—32no—
1637C2×C4⋊C4—34no—
1638C2×C4⋊C4—32no—
1639C2×C4⋊C4—32no—
1640C2×C4⋊C4—34no—
1641C2×C4⋊C4—32no—
1642C2×C4⋊C4—32no—
1643C2×C4⋊C4—34no—
1644C2×C4⋊C4—34no—
1645C2×C4⋊C4C22×D314yes—
1646C2×C4⋊C4C22×D312yes—
1647C2×C4⋊C4C22×D314yes—
1648C2×C4⋊C4C22×D312yes—
1649C2×C4⋊C4C22×D312yes—
1650C2×C42—34no—
1651C2×C42—34no—
1652C2×C42—32no—
1653C2×C42—32no—
1654C2×C42C22×D312yes—
1655C2×C42C22×D311yescharacteristic
1656C23×C3C2512yes—
1657C23×C3C2511yescharacteristic
1658C23×C3C2512yes—
1659C22×D3C2512yes—
1660C3×Q8—24no—
1661C3×Q8—22no—
1662C3×Q8—41no—
1663C3×Q8—42no—
1664C3×D4—24no—
1665C3×D4—28no—
1666C3×D4—42no—
1667C3×D4—41no—
1668C3×D42−1+414yes—
1669C2×C3×C4—28no—
1670C2×C3×C4—24no—
1671C2×C3×C4—24no—
1672C2×C3×C4—22no—
1673C2×C3×C4—41no—
1674C2×C3×C4—42no—
1675C2×C3×C4—44no—
1676C2×C3×C4—42no—
1677C2×C3×C4—41no—
1678C2×C3×C4—44no—
1679C2×C3×C4C2514yes—
1680C2×C3×C4C2512yes—
1681C2×C3×C4C2512yes—
1682C2×C3×C4C2511yescharacteristic
1683C2×C3×C4C2514yes—
1684C2×C3×C4C2512yes—
1685C2×C3×C4C2512yes—
1686C2×C3×C4C2512yes—
1687C2×C3×C4C2511yescharacteristic
1688C2×C3×C4C2511yescharacteristic
1689C2×C3×C4C2511yescharacteristic
1690C2×C3×C4C2512yes—
1691C2×C3×C4C2511yescharacteristic
1692C2×C3×C4C2511yescharacteristic
1693#67—28no—
1694#67—42no—
1695#67—42no—
1696#67—42no—
1697C2×Dic3—28no—
1698C2×Dic3—42no—
1699C2×Dic3—42no—
1700C2×Dic3—42no—
1701C2×Dic3—44no—
1702C2×Dic3—44no—
1703C2×Dic3—44no—
1704C2×Dic3—42no—
1705C2×Dic3—44no—
1706C2×Dic3C2514yes—
1707C2×Dic3C2512yes—
1708C2×Dic3C2512yes—
1709C2×Dic3C2512yes—
1710C2×Dic3C2512yes—
1711C2×Dic3C2512yes—
1712C2×Dic3C2514yes—
1713C2×Dic3C2512yes—
1714C2×Dic3C2512yes—
1715C2×Dic3C2514yes—
1716C2×Dic3C2514yes—
1717D12—41no—
1718C4×D3—24no—
1719C4×D3—42no—
1720C4×D3—44no—
1721C4×D3—44no—
1722C4×D3—42no—
1723Dic6—24no—
1724Dic6—42no—
1725Dic6—44no—
1726Dic6—42no—
1727Dic6—41no—
1728Dic6—44no—
1729Dic6—44no—
1730Dic6—42no—
1731Dic6—42no—
1732Dic6—42no—
1733Dic6—44no—
1734#41—28no—
1735#41—24no—
1736#41—68no—
1737C2×Q8—32no—
1738C2×Q8—34no—
1739C2×Q8—34no—
1740C2×Q8—34no—
1741C2×Q8—34no—
1742C2×Q8—32no—
1743C2×Q8—32no—
1744C2×Q8—31no—
1745C2×Q8—32no—
1746C2×Q8—32no—
1747C2×Q8—32no—
1748C2×Q8C23×D312yes—
1749C2×Q8C23×D311yescharacteristic
1750C2×Q8C23×D312yes—
1751C2×Q8C23×D311yescharacteristic
1752C2×D4—34no—
1753C2×D4—32no—
1754C2×D4—32no—
1755C2×D4—32no—
1756C2×D4—31no—
1757C2×D4C23×D314yes—
1758C2×D4C23×D312yes—
1759C2×D4C23×D312yes—
1760C2×D4C23×D311yescharacteristic
1761C2×D4C23×D311yescharacteristic
1762C22×C4—34no—
1763C22×C4—34no—
1764C22×C4—34no—
1765C22×C4—34no—
1766C22×C4—32no—
1767C22×C4—32no—
1768C22×C4—32no—
1769C22×C4—32no—
1770C22×C4—34no—
1771C22×C4—32no—
1772C22×C4—32no—
1773C22×C4—32no—
1774C22×C4—34no—
1775C22×C4—34no—
1776C22×C4C23×D314yes—
1777C22×C4C23×D312yes—
1778C22×C4C23×D312yes—
1779C22×C4C23×D311yescharacteristic
1780C22×C4C23×D314yes—
1781C22×C4C23×D312yes—
1782C22×C4C23×D312yes—
1783C22×C4C23×D311yescharacteristic
1784C22×C4C23×D311yescharacteristic
1785C22×C4C23×D314yes—
1786C4⋊C4—32no—
1787C4⋊C4—32no—
1788C4⋊C4—32no—
1789C4⋊C4—34no—
1790C4⋊C4—34no—
1791C4⋊C4—34no—
1792C4⋊C4—32no—
1793C4⋊C4—32no—
1794C4⋊C4—32no—
1795C4⋊C4—32no—
1796C4⋊C4—32no—
1797C4⋊C4—31no—
1798C4⋊C4—31no—
1799C4⋊C4—32no—
1800C4⋊C4—32no—
1801C4⋊C4—32no—
1802C4⋊C4—31no—
1803C4⋊C4—32no—
1804C4⋊C4—32no—
1805C4⋊C4—32no—
1806C4⋊C4—32no—
1807C4⋊C4—31no—
1808C4⋊C4—34no—
1809C4⋊C4—34no—
1810C4⋊C4—34no—
1811C4⋊C4—34no—
1812C4⋊C4—34no—
1813C4⋊C4—34no—
1814C4⋊C4—34no—
1815C4⋊C4—34no—
1816C4⋊C4—34no—
1817C4⋊C4—34no—
1818C4⋊C4—34no—
1819C4⋊C4—34no—
1820C4⋊C4—34no—
1821C4⋊C4—32no—
1822C4⋊C4—34no—
1823C4⋊C4—34no—
1824C4⋊C4—34no—
1825C4⋊C4—32no—
1826C4⋊C4—34no—
1827C4⋊C4—34no—
1828C4⋊C4—34no—
1829C4⋊C4—34no—
1830C4⋊C4—34no—
1831C4⋊C4—34no—
1832C4⋊C4—34no—
1833C4⋊C4—34no—
1834C4⋊C4—34no—
1835C4⋊C4—34no—
1836C4⋊C4—34no—
1837C4⋊C4—34no—
1838C4⋊C4—34no—
1839C4⋊C4—34no—
1840C4⋊C4—34no—
1841C4⋊C4—34no—
1842C4⋊C4—34no—
1843C4⋊C4—34no—
1844C4⋊C4—34no—
1845C4⋊C4—34no—
1846C4⋊C4—34no—
1847C4⋊C4—34no—
1848C4⋊C4—34no—
1849C4⋊C4—34no—
1850C4⋊C4—32no—
1851C4⋊C4—32no—
1852C4⋊C4—32no—
1853C4⋊C4—31no—
1854C4⋊C4—31no—
1855C4⋊C4—34no—
1856C4⋊C4—34no—
1857C4⋊C4—34no—
1858C4⋊C4—34no—
1859C4⋊C4—32no—
1860C4⋊C4—32no—
1861C4⋊C4—32no—
1862C4⋊C4—32no—
1863C4⋊C4—32no—
1864C4⋊C4—32no—
1865C4⋊C4—32no—
1866C4⋊C4—32no—
1867C4⋊C4—32no—
1868C4⋊C4—34no—
1869C4⋊C4—34no—
1870C4⋊C4—34no—
1871C4⋊C4—32no—
1872C4⋊C4C23×D311yescharacteristic
1873C4⋊C4C23×D312yes—
1874C4⋊C4C23×D314yes—
1875C4⋊C4C23×D314yes—
1876C4⋊C4C23×D311yescharacteristic
1877C4⋊C4C23×D314yes—
1878C4⋊C4C23×D312yes—
1879C4⋊C4C23×D312yes—
1880C4⋊C4C23×D311yescharacteristic
1881C4⋊C4C23×D311yescharacteristic
1882C4⋊C4C23×D314yes—
1883C4⋊C4C23×D314yes—
1884C4⋊C4C23×D314yes—
1885C4⋊C4C23×D312yes—
1886C4⋊C4C23×D312yes—
1887C4⋊C4C23×D314yes—
1888C4⋊C4C23×D314yes—
1889C4⋊C4C23×D314yes—
1890C4⋊C4C23×D312yes—
1891C4⋊C4C23×D312yes—
1892C4⋊C4C23×D312yes—
1893C4⋊C4C23×D312yes—
1894C4⋊C4C23×D314yes—
1895C4⋊C4C23×D312yes—
1896C22⋊C4—34no—
1897C22⋊C4—34no—
1898C22⋊C4—34no—
1899C22⋊C4—34no—
1900C22⋊C4—34no—
1901C22⋊C4—34no—
1902C22⋊C4—32no—
1903C22⋊C4—32no—
1904C22⋊C4—32no—
1905C22⋊C4—32no—
1906C22⋊C4—32no—
1907C22⋊C4—32no—
1908C22⋊C4—32no—
1909C22⋊C4—34no—
1910C22⋊C4—34no—
1911C22⋊C4—34no—
1912C22⋊C4—34no—
1913C22⋊C4—34no—
1914C22⋊C4—32no—
1915C22⋊C4—32no—
1916C22⋊C4—32no—
1917C22⋊C4—32no—
1918C22⋊C4—32no—
1919C22⋊C4—32no—
1920C22⋊C4—32no—
1921C22⋊C4—32no—
1922C22⋊C4—34no—
1923C22⋊C4C23×D312yes—
1924C22⋊C4C23×D314yes—
1925C22⋊C4C23×D314yes—
1926C22⋊C4C23×D312yes—
1927C22⋊C4C23×D312yes—
1928C22⋊C4C23×D314yes—
1929C22⋊C4C23×D314yes—
1930C22⋊C4C23×D312yes—
1931C22⋊C4C23×D312yes—
1932C22⋊C4C23×D312yes—
1933C22⋊C4C23×D312yes—
1934C22⋊C4C23×D312yes—
1935C42—32no—
1936C42—32no—
1937C42—34no—
1938C42—34no—
1939C42—32no—
1940C42—32no—
1941C42—32no—
1942C42—32no—
1943C42—32no—
1944C42—34no—
1945C42—34no—
1946C42—34no—
1947C42—34no—
1948C42—34no—
1949C42—34no—
1950C42—34no—
1951C42—34no—
1952C42—34no—
1953C42—34no—
1954C42—34no—
1955C42—34no—
1956C42C23×D312yes—
1957C42C23×D311yescharacteristic
1958C42C23×D312yes—
1959C42C23×D311yescharacteristic
1960C42C23×D311yescharacteristic
1961C42C23×D311yescharacteristic
1962C42C23×D312yes—
1963C42C23×D312yes—
1964C42C23×D314yes—
1965C42C23×D314yes—
1966C22×C3—22no—
1967C22×C3—22no—
1968C22×C3—22no—
1969C22×C3—21no—
1970C22×C3—22no—
1971C22×C3—21no—
1972C22×C3—21no—
1973C22×C3—22no—
1974C22×C3C2×2−1+414yes—
1975C22×C3C2611yescharacteristic
1976C2×D3—22no—
1977C2×D3—22no—
1978C2×D3—22no—
1979C3×C4—22no—
1980C3×C4—21no—
1981C3×C4—24no—
1982C3×C4—22no—
1983C3×C4—21no—
1984C3×C4—22no—
1985C3×C4—22no—
1986C3×C4—22no—
1987C3×C4—21no—
1988C3×C4—22no—
1989C3×C4—24no—
1990C3×C4—21no—
1991C3×C4—21no—
1992C3×C4C2×2−1+412yes—
1993Dic3—24no—
1994Dic3—22no—
1995Dic3—22no—
1996Dic3—22no—
1997Dic3—22no—
1998Dic3—24no—
1999Dic3—24no—
2000Dic3—24no—
2001Dic3—22no—
2002Dic3—22no—
2003Dic3—22no—
2004C23—32no—
2005C23C24×D311yescharacteristic
2006C23C24×D312yes—
2007C23C24×D312yes—
2008Q8—24no—
2009Q8—22no—
2010Q8—41no—
2011Q8—42no—
2012Q8—64no—
2013Q8—124no—
2014Q8—122no—
2015Q8—122no—
2016Q8—122no—
2017Q8—124no—
2018Q8—121no—
2019Q8—124no—
2020Q8—122no—
2021Q8—124no—
2022Q8—122no—
2023D4—28no—
2024D4—24no—
2025D4—41no—
2026D4—42no—
2027D4—68no—
2028D4—121no—
2029D4—122no—
2030D4—122no—
2031D4—122no—
2032D4#101014yes—
2033C2×C4—28no—
2034C2×C4—24no—
2035C2×C4—24no—
2036C2×C4—22no—
2037C2×C4—32no—
2038C2×C4—32no—
2039C2×C4—32no—
2040C2×C4—34no—
2041C2×C4—32no—
2042C2×C4—34no—
2043C2×C4—34no—
2044C2×C4—34no—
2045C2×C4—32no—
2046C2×C4—32no—
2047C2×C4—32no—
2048C2×C4—42no—
2049C2×C4—41no—
2050C2×C4—42no—
2051C2×C4—41no—
2052C2×C4—44no—
2053C2×C4—44no—
2054C2×C4—68no—
2055C2×C4—64no—
2056C2×C4—124no—
2057C2×C4—122no—
2058C2×C4—122no—
2059C2×C4—124no—
2060C2×C4—124no—
2061C2×C4—124no—
2062C2×C4—122no—
2063C2×C4—122no—
2064C2×C4—124no—
2065C2×C4—124no—
2066C2×C4—122no—
2067C2×C4—122no—
2068C2×C4C24×D311yescharacteristic
2069C2×C4C24×D314yes—
2070C2×C4C24×D312yes—
2071C2×C4C24×D312yes—
2072C2×C4C24×D312yes—
2073C2×C4C24×D314yes—
2074C2×C4C24×D312yes—
2075C2×C4C24×D312yes—
2076C2×C4C24×D311yescharacteristic
2077C2×C4C24×D311yescharacteristic
2078C2×C4C24×D312yes—
2079C2×C4C24×D311yescharacteristic
2080C2×C4C24×D311yescharacteristic
2081C2×C4C24×D311yescharacteristic
2082C2×C3—24no—
2083C2×C3—42no—
2084C2×C3—41no—
2085C2×C3C22×2−1+411yescharacteristic
2086C2×C32−1+611yescharacteristic
2087C2×C32−1+611yescharacteristic
2088D3—42no—
2089C22—22no—
2090C22—22no—
2091C22—21no—
2092C22—22no—
2093C22—21no—
2094C22—22no—
2095C22—22no—
2096C22—21no—
2097C22—62no—
2098C22—62no—
2099C22—62no—
2100C22C2×#101014yes—
2101C22C25×D311yescharacteristic
2102C4—22no—
2103C4—21no—
2104C4—24no—
2105C4—22no—
2106C4—21no—
2107C4—22no—
2108C4—21no—
2109C4—22no—
2110C4—21no—
2111C4—22no—
2112C4—22no—
2113C4—24no—
2114C4—21no—
2115C4—62no—
2116C4—64no—
2117C4—62no—
2118C4—62no—
2119C4—64no—
2120C4—64no—
2121C4—62no—
2122C4—62no—
2123C4—64no—
2124C4—62no—
2125C4—62no—
2126C4C2×#101012yes—
2127C3#6306711yescharacteristic, complemented, Sylow
2128C2—24no—
2129C2—41no—
2130C2—42no—
2131C2—122no—
2132C2C22×#101011yescharacteristic
2133C2#8757111yescharacteristic
2134C2#8757211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D3
commutator, socle, cosocleC22×C3C26
FittingC3×#3515C2
hypercenter#3515D3
hypocenterC3#63067
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ #3515

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C3×#3515C2semidirect
2. #87027C2semidirect
3. #86943C2semidirect
4. #86927C2semidirect
5. #86899C2semidirect
6. #86869C2semidirect
7. #86852C2semidirect
8. #86852C2semidirect
9. #86851C2semidirect
10. #86851C2semidirect
11. #86683C2semidirect
12. #86682C2semidirect
13. #86682C2semidirect
14. #86520C2semidirect
15. #86502C2semidirect
16. #86445C2semidirect
17. #86439C2semidirect
18. #86271C2semidirect
19. #86270C2semidirect
20. #86142C2semidirect
21. #86142C2semidirect
22. #86136C2semidirect
23. #86132C2semidirect
24. #86089C2semidirect
25. C2×C3⋊#564C2semidirect
26. #85895C2semidirect
27. #85890C2semidirect
28. #85831C2semidirect
29. #85829C2semidirect
285. #3515D3semidirect
2127. C3#63067semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C3×#35152
#870272
#869432
#869272
#868992
#868692
#868522
#868512
#866832
#866822
#865202
#865022
#864452
#864392
#862712
#862702
#861422
#861362
#861322
#860892
C2×C3⋊#5642
#858952
#858902
#858312
#858292
#630673